Sum_{d divides n} d^2*(-1)^bigomega(d), where bigomega(n) = A001222(n).

Terms

a(0) =1a(1) =-3a(2) =-8a(3) =13a(4) =-24a(5) =24a(6) =-48a(7) =-51a(8) =73a(9) =72a(10) =-120a(11) =-104a(12) =-168a(13) =144a(14) =192a(15) =205a(16) =-288a(17) =-219a(18) =-360a(19) =-312a(20) =384a(21) =360a(22) =-528a(23) =408a(24) =601a(25) =504a(26) =-656a(27) =-624a(28) =-840a(29) =-576